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Finding the Fourth Proportional to 530.61, 731.82 and 344.22

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Solution

The fourth proportional to 530.61, 731.82 and 344.22 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.61 : 731.82 = 344.22 : x
  2. Step 2: Convert to fraction form
    530.61/731.82 = 344.22/x
  3. Step 3: Cross multiply
    530.61x = 731.82 × 344.22
  4. Step 4: Simplify right side
    530.61x = 251,907.08
  5. Step 5: Solve for x
    x = 251,907.08/530.61
  6. Step 6: Final answer
    x = 474.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.